Details

sample59.0ms

Algorithm

intervals

Results

24.0ms	50×	body	1280	valid
11.0ms	37×	body	640	valid
8.0ms	128×	body	80	valid
4.0ms	20×	body	320	valid
3.0ms	21×	body	160	valid

simplify188.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	16
1	20	16
2	42	16
3	90	16
4	168	16
5	237	16
6	255	16
done	255	16

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))
14.6b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
13×	`times-frac`
12×	`prod-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`associate-r`
5×	`associate-*l/`
4×	`pow-prod-down`
3×	`associate-/r*` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/l/` `associate-/l*`

Counts

3 → 79

Calls

3 calls:

20.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
10.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
21.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series175.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
37.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
79.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify768.0ms

Counts

88 → 88

Iterations

Useful iterations: 2 (220.0ms)

Iter	Nodes	Cost
0	163	1474
1	403	1285
2	1604	1016
done	5000	1016

prune221.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (sin (* x 0.5)) (sin x))
0.3b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
28×	`times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-r`
14×	`associate-l`
12×	`prod-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `div-exp`
4×	`pow-prod-down` `associate-*l/`
3×	`associate-/r` `div-inv` `associate-/l` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-*r/` `clear-num`

Counts

3 → 98

Calls

3 calls:

4.0ms	(/ (sin (* x 0.5)) (sin x))
21.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
10.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series161.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ (sin (* x 0.5)) (sin x))
81.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
41.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify904.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (358.0ms)

Iter	Nodes	Cost
0	183	1718
1	453	1555
2	1768	1292
done	5001	1292

prune266.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (* 8.0 (sin (* x 0.5))) 3.0)
0.2b	(/ (sin (* x 0.5)) (sin x))
0.3b	(* (* (/ 1 1) (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (sin (* x 0.5)) (sin x)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

198×	`add-exp-log`
101×	`prod-exp`
77×	`div-exp`
75×	`add-cbrt-cube`
31×	`cbrt-unprod`
30×	`1-exp`
24×	`cbrt-undiv`
21×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
12×	`rec-exp`
8×	`pow1`
6×	`associate-/r*`
5×	`frac-times` `associate-*l/`
4×	`associate-/l*`
3×	`associate-*r/` `pow-prod-down` `div-inv` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`associate-l` `*-commutative`

Counts

3 → 137

Calls

3 calls:

5.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
4.0ms	(/ (sin (* x 0.5)) (sin x))
35.0ms	(* (* (/ 1 1) (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (sin (* x 0.5)) (sin x)))

series162.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
44.0ms	(/ (sin (* x 0.5)) (sin x))
81.0ms	(* (* (/ 1 1) (/ (* 8.0 (sin (* x 0.5))) 3.0)) (/ (sin (* x 0.5)) (sin x)))

simplify1.1s

Counts

146 → 146

Iterations

Useful iterations: 2 (356.0ms)

Iter	Nodes	Cost
0	269	3299
1	820	2631
2	2153	1882
done	5000	1882

prune248.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0)))
0.2b	(/ (sin (* x 0.5)) (sin x))
0.3b	(* (* (/ 1 1) (/ (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))) (/ (sin (* x 0.5)) (sin x)))
0.3b	(/ (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

505×	`add-exp-log`
234×	`prod-exp`
231×	`div-exp`
140×	`add-cbrt-cube`
75×	`cbrt-undiv`
74×	`cbrt-unprod`
60×	`1-exp`
56×	`times-frac`
38×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`rec-exp`
18×	`cbrt-prod`
13×	`associate-r`
11×	`div-inv`
10×	`associate-/r*`
9×	`pow1` `associate-/l*`
5×	`frac-times` `associate-*l/`
4×	`add-log-exp`
3×	`frac-2neg` `associate-*r/` `pow-prod-down` `clear-num`
1×	`associate-l` `*-commutative` `associate-/l/`

Counts

4 → 253

Calls

4 calls:

7.0ms	(/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0)))
4.0ms	(/ (sin (* x 0.5)) (sin x))
76.0ms	(* (* (/ 1 1) (/ (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))) (/ (sin (* x 0.5)) (sin x)))
9.0ms	(/ (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series500.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0)))
41.0ms	(/ (sin (* x 0.5)) (sin x))
169.0ms	(* (* (/ 1 1) (/ (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))) (/ (sin (* x 0.5)) (sin x)))
137.0ms	(/ (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify1.7s

Counts

265 → 265

Iterations

Useful iterations: 2 (962.0ms)

Iter	Nodes	Cost
0	448	7956
1	1450	5865
2	4127	4031
done	5000	4031

prune446.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: done (1.0ms)

Iter	Nodes	Cost
0	14	20
1	20	18
done	20	16

end0.0ms

sample1.7s

Algorithm

intervals

Results

698.0ms	1449×	body	1280	valid
418.0ms	1309×	body	640	valid
275.0ms	4315×	body	80	valid
124.0ms	599×	body	320	valid
47.0ms	328×	body	160	valid